Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926x |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-111051486 = -1 · 2 · 39 · 7 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1970,33482] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:271:1] |
Generators of the group modulo torsion |
j |
-844900270912153/111051486 |
j-invariant |
L |
3.4454122562736 |
L(r)(E,1)/r! |
Ω |
1.8072314813644 |
Real period |
R |
1.9064587418942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50778bz1 118482h1 |
Quadratic twists by: -3 -7 |